Ratios and Equivalent Ratios

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What is a ratio?

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A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a : b'.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What does it mean for two ratios to be equivalent?

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Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same fraction.

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CCSS.6.RP.A.3A

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Are the ratios 4 : 5 and 8 : 15 equivalent?

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No, they are not equivalent.

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CCSS.6.RP.A.3A

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How do you find the ratio of a part to the whole?

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To find the ratio of a part to the whole, divide the quantity of the part by the total quantity and express it in simplest form.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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In a fruit bowl with 4 apples, 2 bananas, and 5 pears, what is the ratio of pears to all fruit?

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The ratio of pears to all fruit is 5:11.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of chocolate chips to flour in a recipe that calls for 3 cups of flour and 2 cups of chocolate chips?

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The ratio of chocolate chips to flour is 2 : 3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you complete a ratio table?

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To complete a ratio table, identify the relationship between the quantities and use multiplication or division to find missing values.

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If tomatoes and cucumbers are planted in a ratio of 4 : 1, how many tomato plants are there if there are 14 cucumber plants?

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There are 56 tomato plants.

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What is the simplest form of the ratio 10 : 20?

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The simplest form of the ratio 10 : 20 is 1 : 2.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How can you express the ratio of 3 to 5 in different forms?

Back

You can express the ratio 3 to 5 as 3:5, 3/5, or '3 to 5'.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2